List questions from banach-algebras

Published on 30 Mar 2026 - 4:19

504

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Norm on commutative algebra satisfying square property is submultiplicative

Published on 09 Dec 2017 - 0:53

231

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If $(x_n)$ converges to a non-invertible element, then $\lim \| x_n^{-1} \| = \infty .$

Published on 09 Dec 2017 - 22:26

72

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Spectra of two subalgebras of $C(X)$ where $X$ is an annulus

Published on 10 Dec 2017 - 12:48

294

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Gelfand representation of $C_0(X)$

Published on 23 Feb 2026 - 4:55

174

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Maximal ideals of closed algebra generated by Volterra operator

Published on 25 Mar 2026 - 12:33

320

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Banach subalgebra with a different spectrum

Published on 29 Dec 2017 - 14:40

1.4k

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Good references(books or lecture notes) for self study on Banach Algebra.

Published on 09 Jan 2018 - 3:28

48

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What does $B(E \times F,G)=L(E \otimes F,G)$ mean?

Published on 12 Jan 2018 - 22:47

461

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Converse of Wiener's lemma

Published on 16 Aug 2010 - 20:48

580

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When is the weighted space $\ell^p(\mathbb{Z},\omega)$ a Banach algebra ($p>1$)?

Published on 21 Aug 2010 - 19:45

542

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If $(I-T)^{-1}$ exists, can it always be written in a series representation?

Published on 11 Nov 2010 - 7:00

3.4k

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Is $L^2(\mathbb{R})$ with convolution a Banach Algebra?

Published on 20 Nov 2010 - 17:04

2.5k

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Is there an algebraic homomorphism between two Banach algebras which is not continuous?

Published on 23 Nov 2010 - 17:02

678

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Show that the maximal ideal space of the Wiener algebra $W$ is $ \{ M_z : z \in \mathbb{T} \}$

Published on 06 Apr 2011 - 10:21

List Question

Polar decomposition of a functional on a C$^*$-algebra?

Norm on commutative algebra satisfying square property is submultiplicative

If $(x_n)$ converges to a non-invertible element, then $\lim \| x_n^{-1} \| = \infty .$

Spectra of two subalgebras of $C(X)$ where $X$ is an annulus

Gelfand representation of $C_0(X)$

Maximal ideals of closed algebra generated by Volterra operator

Banach subalgebra with a different spectrum

Good references(books or lecture notes) for self study on Banach Algebra.

What does $B(E \times F,G)=L(E \otimes F,G)$ mean?

Converse of Wiener's lemma

When is the weighted space $\ell^p(\mathbb{Z},\omega)$ a Banach algebra ($p>1$)?

If $(I-T)^{-1}$ exists, can it always be written in a series representation?

Is $L^2(\mathbb{R})$ with convolution a Banach Algebra?

Is there an algebraic homomorphism between two Banach algebras which is not continuous?

Show that the maximal ideal space of the Wiener algebra $W$ is $ \{ M_z : z \in \mathbb{T} \}$

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